Aptitude - Simple Interest - Discussion

3. 

A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

[A]. Rs. 4462.50
[B]. Rs. 8032.50
[C]. Rs. 8900
[D]. Rs. 8925
[E]. None of these

Answer: Option D

Explanation:

Principal
= Rs. 100 x 4016.25
9 x 5
= Rs. 401625
45
= Rs. 8925.

Dipak said: (Dec 4, 2010)  
Which formula to use?

Prabu said: (Dec 6, 2010)  
Why you take *100?

Devi said: (Dec 14, 2010)  
S I = P*R*T /100

P = (100 x S.I)/(R x T)

Rsd said: (Jan 28, 2011)  
too simple

Munjal said: (May 5, 2011)  
What is P.C.P.A.?

Jyothi said: (Jun 1, 2011)  
P.C.P.A. stands for Percent Compounded Per Annum.

Machender said: (Aug 28, 2011)  
@Jyothi absolutely right.

Atharva said: (Feb 5, 2012)  
I=P*N*R/100
4016.25=P*5*9
4016.25=P*45
P=4016.25/45
P=89.25*100
P=8925

Bhaskar said: (Aug 8, 2012)  
Why 9 is in denominator, The formula is P.R.T/100 and here the Rate and Time is in numerator ?

Mani said: (Aug 25, 2012)  
Refer important formulas in S.I @ bhaskar

Muali said: (Aug 20, 2013)  
S.I = P*R*T /100.

Mudassir Pasha said: (Sep 17, 2013)  
We can solve this problem logically also without using SI formula.

Here the the total interest amt given for 5 years is 4016.25.

Therefore for the total interest for 1 year is 4016.25/5 = 803.25.

Therefore 803.25 is the 9% of the total sum.

If we calculate the 100% of the 803.25 we will get the the total amt.

To calculate 100%, multiple 803.25 by 100 and divide it by 9.

803.25*100/9 = 8925.

Kruba Karan said: (Sep 4, 2014)  
What is another way to solve this problem?

Fortune said: (Sep 29, 2014)  
Hey I am not able to divide 401625/45 it is easy with calculate but manually I'm not able please help me and make it easy for me step by step.

Vipin Mishra said: (Oct 4, 2014)  
First take a LCM of 401625 Then you can calculation easily.

Bhavna said: (Dec 10, 2014)  
@Fortune.

We know that P = S.I*100/R*T.

Given S.I = 4016.25, R = 9, T = 5.

Substitute these values in above formula,

Then,

P = 4016.25*100/9*5.

P = 4016.25*20/9 (Cancel 100 with 5).

P = 80325/9.

By simplifying this we get.

P = Rs.8925.

Hope it is understandable.

Chinna said: (Jan 17, 2015)  
It is very simple.

Just multiply rate of interest and time.

i.e, 9x5 = 45%.

Here 45% = 4016.25 then.

100% = ?

Hence 100% = 401625/45 = 8925.

Thank you.

Thies said: (Apr 13, 2015)  
What about the interest on interest?

Lahari said: (Apr 19, 2015)  
How to represent the time? For eg: If 2 years and 8 months like that given.

Mohd Dil said: (May 30, 2015)  
Please tell me detail.

Shridhar said: (Jul 24, 2015)  
2/3 years.

For 12 months 1 year.
For 8 months?

8/12.

Karthika said: (Jul 31, 2015)  
I can not understand this problem.

Swapna said: (Aug 31, 2015)  
Simple interest = P*T*R/100,

P = 100*S.I/T*R,

= 100*4016.25/5*9 = 8925.

Principal means sum here.

Ganesh said: (Apr 1, 2016)  
Then what is the difference between P. C. P. A and P. A since we use the same formula so we get the same answer?

Swapnil said: (Jun 1, 2016)  
It is very easy.

Take 9 * 5 = 45.

45% = 4016.25.

100%= ?

By cross multiplication we get the answer is 8925.

Manju said: (Jun 26, 2016)  
If you go through the important formulas you will definitely find formulas to find each value differently.

Here sum relates to the principle so the formula for principle is P=100 * SI / R * N.

SUBSTITUTE the values in it, you will get the solution, that's it.

Muthumani said: (Jul 4, 2016)  
P=100 * SI / R * N.

Where, P - amount. R - rate. I - interest. N - year.

Karibasappa said: (Nov 11, 2016)  
How easily divides the long fractions? Please help me.

Kenchappa said: (Nov 11, 2016)  
Please, anybody tell me, How to divide this one 401625/45?

Joyal said: (Dec 14, 2016)  
Can't the interest added by the previous interest?

Kalian Jee said: (May 2, 2017)  
Simple interest = 4016.25.
Rate = 9%.
Time=5 year's.

Sum = si * 100/r.
Sum=4016.25 * 100/9 * 5,
= 401625 ÷ 45.
Sum = 8925 answer.

Thiru said: (Jun 9, 2017)  
Here, S.i = p * n * r/100.
Ans = 401625= P * 5 * 9/100

Next step 401625 * 100/5 * 9 = p then 40162500/45 => Ans = 8925.

Lakshmi said: (Jul 27, 2017)  
I understand your concept thanks @Bhavna.

Shreekant said: (Sep 11, 2017)  
Why 100 is multiplied?

Neelesh said: (Nov 2, 2017)  
HERE IS AN INTERESTING TRICK:

Since, the rate is 9% for 5 years, so total SI is 45%.

Now 45% = 4016.25 so 100% = 4016.25*100/45 = 8925.

Parkash Jha said: (Nov 4, 2017)  
5 years = 4016.25.
So, 1 years = 803.25.

Now formula, Rate % = Interest/principalx100(only for 1 years).
So, principal=803.25/9x100=8925.

Hence principal = 8925 ans=(C).

Vinaya said: (Jan 14, 2018)  
Hi friends! I am Vinaya.

Here we have to find d sum(p).
So formula we know is S.I=P*R*T/100;.
SO, p=S.I*100/R*T--->given S.I=4016.25 we can write it as 401625/100...R=9,T=5.
Substitute the values ...P=401625*100/100*9*5..

After calculation, we get 8925.

Shahi Fazal said: (Jan 17, 2018)  
Total S.I-Rs4016.25.
Rate-9%
Time-5yrs
S.I.=[P*R*T/100]
So,
P=[S.I.*100/R*T]
P=[4016.25*100/9*5]
=8925 Ans.

Faustina Paradise said: (Jan 31, 2018)  
We can also use the formula.

Simple interest =principal *rate *time all over 100.
4016.25=p*9*5/100,
4016.25=45p/100,
Then cross multiply;
45p=401625,
divid both side by 45.
p=8925.
There the sum = 8925.

Vineeth said: (Jun 17, 2018)  
A=p(1+RT/100).

A=total money, borrow,
P=lended,loan,sum,
R=rate,
T=time.

Kalyan said: (Aug 8, 2018)  
Simple interest = 4016.25.
Rate = 9%.
Time=5 year's.

Sum = si * 100/r.
Sum=4016.25 * 100/9 * 5,
= 401625 ÷ 45.
Sum = 8925 answer.

Arun said: (Aug 13, 2018)  
Here, p.c.p.a Indicates the rate for compound interest.

Nimazz said: (Nov 8, 2018)  
How 401625/45? Please explain in detail.

Anomie said: (Mar 15, 2019)  
P.C.P.A. Stands for Percent "Compounded" Per Annum. Then why simple interest is given in the question?

Mit said: (May 12, 2019)  
Is it asking for principal or principal+ interest. Please tell me.

Basil said: (Jun 13, 2019)  
P.C.P.A is percent compound per annum. Why is it using simple interest formula?

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